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Finding the Third Proportional to 110,564 and 259,906

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Solution

The third proportional to 110,564 and 259,906 is: 610,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,564 : 259,906 = 259,906 : x
  2. Step 2: Convert to fraction form
    110,564/259,906 = 259,906/x
  3. Step 3: Cross multiply
    110,564x = 259,906 × 259,906
  4. Step 4: Simplify right side
    110,564x = 67,551,128,836
  5. Step 5: Solve for x
    x = 67,551,128,836/110,564
  6. Step 6: Final answer
    x = 610,968.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.